Find the intervals of convergence of f(x), f '(x), f ''(x), and f(x) dx. (enter your answer using interval notation. be sure to check for convergence at the endpoints of the interval.) f(x) = ∞ (−1)n + 1(x − 4)x = 1 (a) f(x)

I'm guessing you're given

Note that for odd , the corresponding term in the series is 0, so only the even terms matter. Let , for which . Then

Differentiating/integrating the power series gives

By the ratio test, ...

a. ... converges for

b. ... converges for

c. ... converges for

d. ... converges to

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

75%

step-by-step explanation: